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Finding the Fourth Proportional to 601,533.88, 830,116.28 and 329,618.68

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Solution

The fourth proportional to 601,533.88, 830,116.28 and 329,618.68 is: 454,873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,533.88 : 830,116.28 = 329,618.68 : x
  2. Step 2: Convert to fraction form
    601,533.88/830,116.28 = 329,618.68/x
  3. Step 3: Cross multiply
    601,533.88x = 830,116.28 × 329,618.68
  4. Step 4: Simplify right side
    601,533.88x = 273,621,832,460.11
  5. Step 5: Solve for x
    x = 273,621,832,460.11/601,533.88
  6. Step 6: Final answer
    x = 454,873.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.